Multiply 4/5 by 7 1/3 . Convert the product to be a mixed number.

1 answer

To multiply the two fractions, we need to first convert the mixed number 7 1/3 into an improper fraction. We do this by multiplying the whole number (7) by the denominator of the fraction (3) and adding the numerator (1).

7 * 3 + 1 = 21 + 1 = 22

So, 7 1/3 as an improper fraction is 22/3.

Now, we can multiply the two fractions:

(4/5) * (22/3) = (4 * 22) / (5 * 3) = 88/15

To convert this improper fraction into a mixed number, we divide the numerator (88) by the denominator (15) and write the remainder as a fraction:

88 รท 15 = 5 remainder 13

Therefore, the product is 5 13/15 as a mixed number.